Pith Number

pith:4IQRNMSE

pith:2015:4IQRNMSEE663Z4UTQQ4Y43UONH

not attested not anchored not stored refs pending

Accelerating Polynomial Homotopy Continuation on a Graphics Processing Unit with Double Double and Quad Double Arithmetic

Jan Verschelde, Xiangcheng Yu

arxiv:1501.06625 v3 · 2015-01-26 · cs.MS · cs.DC · cs.NA · math.AG · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4IQRNMSEE663Z4UTQQ4Y43UONH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:51:25.012844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e22116b24427bdbcf29384398e6e8e69eb6f191bef2d9a5513aed726010d9c74

Aliases

arxiv: 1501.06625 · arxiv_version: 1501.06625v3 · doi: 10.48550/arxiv.1501.06625 · pith_short_12: 4IQRNMSEE663 · pith_short_16: 4IQRNMSEE663Z4UT · pith_short_8: 4IQRNMSE

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4IQRNMSEE663Z4UTQQ4Y43UONH \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e22116b24427bdbcf29384398e6e8e69eb6f191bef2d9a5513aed726010d9c74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "730e2933bcc050bb0d4a3571024f30ec0a18039161a8fc9675c2e2988b931179",
    "cross_cats_sorted": [
      "cs.DC",
      "cs.NA",
      "math.AG",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2015-01-26T23:54:20Z",
    "title_canon_sha256": "bf517f4b159bd91f7c575b032a0c0daf430183df8cc1fe3cf4186bd02e0d6c4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06625",
    "kind": "arxiv",
    "version": 3
  }
}